%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET101-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:39:08 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,axiom,
    ! [X] : member(singleton(X),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f146,negated_conjecture,
    ~ member(singleton(x),ordered_pair(x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f157,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f157]) ).

fof(f163,plain,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f293,plain,
    ! [X0] : member(singleton(X0),universal_class),
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f320,plain,
    ~ member(singleton(x),ordered_pair(x,y)),
    inference(cnf_transformation,[status(esa)],[f146]) ).

fof(f935,plain,
    ! [X0,X1] :
      ( ~ member(singleton(X0),universal_class)
      | member(singleton(X0),ordered_pair(X0,X1)) ),
    inference(paramodulation,[status(thm)],[f163,f158]) ).

fof(f936,plain,
    ! [X0,X1] : member(singleton(X0),ordered_pair(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f935,f293]) ).

fof(f1037,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f320,f936]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET101-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 21:43:24 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40  % Elapsed time: 0.035122 seconds
% 0.13/0.40  % CPU time: 0.113328 seconds
% 0.13/0.40  % Total memory used: 27.042 MB
% 0.13/0.40  % Net memory used: 26.929 MB
%------------------------------------------------------------------------------